One-fourth of a herd of camels was seen in the forest. Twice the square root of the herd had gone to mountains and the remaining 15 camels were seen on the bank of a river. Find the total number of camels.
Correct Answer: 36
Explanation:
Let the total number of camels be x.
Then, acording to the question,
x/4 + 2√x + 15 = x
⇒ x - x/4 - 2 √x = 15
⇒ 3x - 8√x - 60 = 0
⇒ √x = [8 ± √64 + 720] / 6
= (8 ± 28) / 6
∴ x = 36
